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VMariaS [17]
2 years ago
7

Choose the product of –3y2(–4y3 + y – 9).

Mathematics
1 answer:
Nina [5.8K]2 years ago
6 0

Answer:

D

-3 * (-4) matches, as well as the powers (I guess you wanted to communicate that these are powers, but it would also be correct if these where factors)

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PLEASE help me with this question!! I really need help!
alexdok [17]

Answer:

324π in²

Step-by-step explanation:

The surface area of a sphere = 4πr² ( r is the radius )

Calculate r using the volume (V) formula

V = \frac{4}{3}πr³

Here V = 972π , thus

\frac{4}{3}πr³ = 972π ( divide both sides by π )

\frac{4}{3}r³ = 972 ( multiply both sides by 3 to clear the fraction )

4r³ = 2916 ( divide both sides by 4 )

r³ = 729 ( take the cube root of both sides )

r = \sqrt[3]{729} = 9

Thus

surface area = 4π × 9² = 4π × 81 = 324π in²

5 0
2 years ago
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Find the remainder when f(x) = x3 − 14x2 51x − 22 is divided by x − 7.
Contact [7]
The remainder is -8.
5 0
3 years ago
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The rule for being the nth item in a certain sequence is n(n+1)/2. what is the 4th term in this sequence ?
Lorico [155]

Answer:

a.) 4

Step-by-step explanation:

a.)4

7 0
2 years ago
A large rock has a mass of 9,000 grams. What is the mass of the rock in kilograms ?
katovenus [111]
The mass of the rock in kg is 90,000 kg
4 0
3 years ago
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Andy joins a social networking site. After day three, he has 25 friends; after day eight, he has 40 friends. Write the equation
Allisa [31]

Answer:

Point slope intercept form: The equation for line is given by; y-y_1=m(x-x_1) ......[1] ; where m is the slope and a point (x_1, y_1) on the line.

Let x represents the number of days and y represents the number of friends.

As per the statement:  After day three, he has 25 friends; after day eight, he has 40 friends.

⇒ We have two points i.e,

(3, 25) and (8, 40)

First calculate slope(m);

m = \frac{y_2-y_1}{x_2-x_1}

Substitute the given values we get;

m = \frac{40-25}{8-3}=\frac{15}{5} = 3

now, substitute the given values of m=3 and a point (3, 25) in [1] we get;

y-25=3(x-3)

Using distributive property; a \cdot(b+c) = a\cdot b + a\cdot c

y-25 = 3x - 9

Add 25 on both sides, we get;

y-25+25 = 3x - 9+25

Simplify:

y =3x + 16

if  x = 18 days, then;

y = 3(18) + 16 = 54+16 = 70

Therefore, he will have on day 18, if he continues to add the same number of friends each day is, 70 friends.

7 0
3 years ago
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